Bernhard Riemann, 1826-1866 : (Record no. 1577)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03427mam a2200373 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 2301855 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | BD-DhUL |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220619201026.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 980401s1999 maua b 001 0beng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 98017834 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0817640401 (alk. paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 3764340401 (alk. paper) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)ocm38992931 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Transcribing agency | BD-DhUL |
| Modifying agency | BD-DhUL |
| -- | OrLoB-B |
| 041 1# - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| Language code of original | ger |
| 043 ## - GEOGRAPHIC AREA CODE | |
| Geographic area code | e-gx--- |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA29.R425 |
| Item number | L3813 1999 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510.92 |
| Edition number | 21 |
| Item number | LAB |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Laugwitz, Detlef. |
| 240 10 - UNIFORM TITLE | |
| Uniform title | Bernhard Riemann, 1826-1866. |
| Language of a work | English |
| 245 10 - TITLE STATEMENT | |
| Title | Bernhard Riemann, 1826-1866 : |
| Remainder of title | turning points in the conception of mathematics / |
| Statement of responsibility, etc. | Detlef Laugwitz ; translated by Abe Shenitzer with the editorial assistance of the author, Hardy Grant, and Sarah Shenitzer. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Boston : |
| Name of publisher, distributor, etc. | Birkhäuser, |
| Date of publication, distribution, etc. | c1999. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xvi, 357 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. [341]-349) and index. |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Miscellaneous information | 0. |
| Title | Introduction -- |
| Miscellaneous information | 1. |
| Title | Complex Analysis. |
| Miscellaneous information | 1.1. |
| Title | The genesis of complex analysis up to Riemann's time. |
| Miscellaneous information | 1.2. |
| Title | The dissertation of 1851. |
| Miscellaneous information | 1.3. |
| Title | The elaborations. |
| Miscellaneous information | 1.4. |
| Title | The zeta function and the distribution of primes -- |
| Miscellaneous information | 2. |
| Title | Real Analysis. |
| Miscellaneous information | 2.1. |
| Title | Foundations of real analysis. |
| Miscellaneous information | 2.2. |
| Title | Trigonometric series before Riemann. |
| Miscellaneous information | 2.3. |
| Title | Riemann's results. |
| Miscellaneous information | 2.4. |
| Title | Trigonometric series after Riemann. |
| Miscellaneous information | 2.5. |
| Title | A self-contained chapter: Gauss, Riemann, and the Gottingen atmosphere -- |
| Miscellaneous information | 3. |
| Title | Geometry; Physics; Philosophy. |
| Miscellaneous information | 3.1. |
| Title | Geometry. |
| Miscellaneous information | 3.2. |
| Title | Physics. |
| Miscellaneous information | 3.3. |
| Title | On philosophy -- |
| Miscellaneous information | 4. |
| Title | Turning Points in the Conception of Mathematics. |
| Miscellaneous information | 4.1. |
| Title | The historians' search for revolutions in mathematics. |
| Miscellaneous information | 4.2. |
| Title | Turning point in the conception of the infinite in mathematics. |
| Miscellaneous information | 4.3. |
| Title | Turning point in the method: Thinking instead of computing. |
| Miscellaneous information | 4.4. |
| Title | Turning point in the ontology: Mathematics as thinking in concepts. |
| Miscellaneous information | 4.5. |
| Title | The ontology and methodology of mathematics after Riemann. |
| Miscellaneous information | 4.6. |
| Title | Concluding remarks. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book, originally written in German and presented here in an English-language translation, is the first attempt to examine Riemann's scientific work from a single unifying perspective. Laugwitz describes Riemann's development of a conceptual approach to mathematics at a time when conventional algorithmic thinking dictated that formulas and figures, rigid constructs, and transformations of terms were the only legitimate means of studying mathematical objects. |
| 520 8# - SUMMARY, ETC. | |
| Summary, etc. | David Hilbert gave prominence to the Riemannian principle of utilizing thought, not calculation, to achieve proofs. Hermann Weyl interpreted the Riemann principle - for mathematics and physics alike - to be a matter of "understanding the world through its behavior in the infinitely small.". |
| 520 8# - SUMMARY, ETC. | |
| Summary, etc. | This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemann's work and to the development of them in their historical context. This illuminating English-language version of the original German edition will be an important contribution to the literature of the history of mathematics. |
| 600 10 - SUBJECT ADDED ENTRY--PERSONAL NAME | |
| Personal name | Riemann, Bernhard, |
| Dates associated with a name | 1826-1866. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematicians |
| Geographic subdivision | Germany |
| Form subdivision | Biography. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| Geographic subdivision | Germany |
| General subdivision | History |
| Chronological subdivision | 19th century. |
| 900 ## - EQUIVALENCE OR CROSS-REFERENCE-PERSONAL NAME [LOCAL, CANADA] | |
| Numeration | TOC |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Koha item type | Books |
No items available.